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Finding the Fourth Proportional to 10,435.94, 14,403.59 and 8,162.78

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Solution

The fourth proportional to 10,435.94, 14,403.59 and 8,162.78 is: 11,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.94 : 14,403.59 = 8,162.78 : x
  2. Step 2: Convert to fraction form
    10,435.94/14,403.59 = 8,162.78/x
  3. Step 3: Cross multiply
    10,435.94x = 14,403.59 × 8,162.78
  4. Step 4: Simplify right side
    10,435.94x = 117,573,254.16
  5. Step 5: Solve for x
    x = 117,573,254.16/10,435.94
  6. Step 6: Final answer
    x = 11,266.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.